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Choose Yes or No to tell whether each expression is equivalent to this expression.

–3(0.15 – 0.2 + 0.25p)

0.15 – 0.75p

–0.45 – 0.6 + 0.75p

–3(–0.05 + 0.25p)

–3(0.15) + (–3)(0.2) + (–3)(0.25p)

Respuesta :

lublana

Answer:

A.Yes

B.No

C.Yes

D.No

Step-by-step explanation:

We are given that an expression

[tex]-3(0.15-0.2+0.25p)[/tex]

We have to choose yes or no to tell each expression is equivalent to given expression.

[tex]-3(-0.05+0.25p)[/tex]

[tex]-3(-0.05)-3(0.25p)=0.15-0.75p[/tex]

[tex]-3(0.15-0.2+0.25p)=0.15-0.75p[/tex]

A.[tex]0.15-0.75p[/tex]

Yes , it is equivalent to given expression.

B.[tex]-0.45-0.6+0.75p[/tex]

It is not true because

[tex]-0.51+0.75p\neq 0.15-0.75p[/tex]

Hence, this expression is not equivalent to given expression.

[tex]C.-3(-0.05+0.25p)[/tex]

[tex]0.15-0.75p[/tex]

Yes, it is equivalent to given expression.

D.[tex]-3(0.15)+(-3)(0.2)+(-3)(0.25P)[/tex]

[tex]-0.45-0.6-0.75p[/tex]

[tex]-0.51-0.75\neq 0.15-0.75p[/tex]

No, it is not equivalent to given expression.

abidemiokin

The expression –3(0.15 – 0.2 + 0.25p) = 0.15 – 0.75p is TRUE

Sum of expressions

Given the expression

  • –3(0.15 – 0.2 + 0.25p)

Expand the expression

= –3(0.15) + 3(0.2) - 3(0.25p)

= -0.45 + 0.6 - 0.75p

= 0.15 -0.75p

Hence the expression –3(0.15 – 0.2 + 0.25p) = 0.15 – 0.75p is TRUE

Learn more on expressions here:https://brainly.com/question/22048677

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